A 1500 kg car is traveling up the slope shown at a constant speed. Knowing that the maximum power output of the car is 160 hp, at what speed can the car travel if air resistance is negligible? Also, knowing that 1 L of regular gasoline provides 34.8 MJ of energy, how many liters of gasoline will be

Question

A 1500 kg car is traveling up the slope shown at a constant speed. Knowing that the maximum power output of the car is 160 hp, at what speed can the car travel if air resistance is negligible? Also, knowing that 1 L of regular gasoline provides 34.8 MJ of energy, how many liters of gasoline will be required in 1 h if the engine has an efficiency [latex]\epsilon[/latex] = 0.20?

Accepted Answer

The power delivered by the car engine, Power, [latex]\mathrm{P}=180 \mathrm{hp}=180 imes 746 \mathrm{~W}=134,280 \mathrm{~W}[/latex]

The car can travel at a speed of 42.6046 km / h.
The amount of gasoline required is 69.4272 L.

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